442404431411013 has 32 divisors (see below), whose sum is σ = 666533419920000. Its totient is φ = 289932697293696.

The previous prime is 442404431410973. The next prime is 442404431411029. The reversal of 442404431411013 is 310114134404244.

442404431411013 is a `hidden beast` number, since 4 + 4 + 2 + 404 + 4 + 3 + 141 + 101 + 3 = 666.

It is not a de Polignac number, because 442404431411013 - 2²⁵ = 442404397856581 is a prime.

It is a super-2 number, since 2×442404431411013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442404431411413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98104423 + ... + 102514811.

It is an arithmetic number, because the mean of its divisors is an integer number (20829169372500).

Almost surely, 2^{442404431411013} is an apocalyptic number.

It is an amenable number.

442404431411013 is a deficient number, since it is larger than the sum of its proper divisors (224128988508987).

442404431411013 is a wasteful number, since it uses less digits than its factorization.

442404431411013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473426 (or 4473420 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 442404431411013 its reverse (310114134404244), we get a palindrome (752518565815257).

The spelling of 442404431411013 in words is "four hundred forty-two trillion, four hundred four billion, four hundred thirty-one million, four hundred eleven thousand, thirteen".